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Finding the Fourth Proportional to 106,572.97, 159,855.88 and 31,693.58

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Solution

The fourth proportional to 106,572.97, 159,855.88 and 31,693.58 is: 47,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,572.97 : 159,855.88 = 31,693.58 : x
  2. Step 2: Convert to fraction form
    106,572.97/159,855.88 = 31,693.58/x
  3. Step 3: Cross multiply
    106,572.97x = 159,855.88 × 31,693.58
  4. Step 4: Simplify right side
    106,572.97x = 5,066,404,901.62
  5. Step 5: Solve for x
    x = 5,066,404,901.62/106,572.97
  6. Step 6: Final answer
    x = 47,539.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.